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Parallel and interacting Markov chain Monte Carlo algorithm

Fabien Campillo, Rivo Rakotozafy and Vivien Rossi

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 12, 3424-3433

Abstract: In many situations it is important to be able to propose N independent realizations of a given distribution law. We propose a strategy for making N parallel Monte Carlo Markov chains (MCMC) interact in order to get an approximation of an independent N-sample of a given target law. In this method each individual chain proposes candidates for all other chains. We prove that the set of interacting chains is itself a MCMC method for the product of N target measures. Compared to independent parallel chains this method is more time consuming, but we show through examples that it possesses many advantages. This approach is applied to a biomass evolution model.

Keywords: Markov chain Monte Carlo method; Interacting chains; Hidden Markov model (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:12:p:3424-3433

DOI: 10.1016/j.matcom.2009.04.010

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